Question

2. The Shapley-Shubik index is defined under the assumption that the voters vote in order. But...

2. The Shapley-Shubik index is defined under the assumption that the voters vote in order. But if the vote is by secret ballot, then votes are neither cast nor counted in any specific order. Does this fact affect the validity of the Shapley- Shubik index?

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Answer #1

Answer :-

Given that,

The Shapley-Shubik index is defined under the assumption that the voters vote in order.

But if the vote is by secret ballot, then votes are neither cast nor counted in any specific order.

YES, this fact affect the validity of the Shapley- Shubik index

Why because ,

the vote is by secret ballot, then votes are neither cast nor counted might fall effect on the output

if the counting is correct but if it is not in specified order do not effect on Shapley- Shubik index.

Therefore,

YES, this fact affect the validity of the Shapley- Shubik index.

Thank you

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